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Goodness of fit test for Endotoxin levels

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3. An investigator wants to test if there is a difference in endotoxin levels in children who are exposed to endotoxin as a function of their proximity to operating farms. The following are endotoxin levels in units per milligram of dust sampled from children's mattresses, organized by children's proximity to farms.

Within 5 Miles: 54 62 78 90 70
5-24.9 Miles: 28 42 39 81 65
25-49.9 Miles: 37 29 30 50 53
50 Miles or More: 36 19 22 28 27
Apply the Kruskal Wallis test at a 5% level of significance.

Alpha= 0.05
df= ________
Critical value= ________
H= ________

Based on comparing H to the critical value to the Critical value which of the following is (are) true?

A. There is significant evidence at alpha=0.05 t o show that the populations of endotoxin levels in children living varying distances from operating farms are not equal.
B. There is not significant evidence at alpha =0.05 to show that the populations of endotoxin levels in children living varying distances from operating farms are not equal.
C. There are not enough data points to reach a conclusion.
D. The tied value makes the analysis suspect.

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The solution gives detailed steps on performing a goodness of fit test for Endotoxin levels. All formula and calculations are shown and explained.

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Now we have 20 data, we need to order the data and rank the data from 1 to 20. the result is as follows (rank number in bracket)
For example, 19 is the minimum value in the data, so rank 1 to 19. if there are 2 same values, take the average of two ranks. ...

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